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4064080 = 245371373
BaseRepresentation
bin1111100000001101010000
321122110212111
433200031100
52020022310
6223035104
746354426
oct17401520
97573774
104064080
112326449
12143ba94
13ac3aa7
1477b116
1555428a
hex3e0350

4064080 has 40 divisors (see below), whose sum is σ = 9711432. Its totient is φ = 1580544.

The previous prime is 4064051. The next prime is 4064083. The reversal of 4064080 is 804604.

It can be written as a sum of positive squares in 4 ways, for example, as 2446096 + 1617984 = 1564^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2274 + ... + 3646.

Almost surely, 24064080 is an apocalyptic number.

4064080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4064080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855716).

4064080 is an abundant number, since it is smaller than the sum of its proper divisors (5647352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4064080 is a wasteful number, since it uses less digits than its factorization.

4064080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4064080 is about 2015.9563487338. The cubic root of 4064080 is about 159.5832906504.

Adding to 4064080 its reverse (804604), we get a palindrome (4868684).

The spelling of 4064080 in words is "four million, sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1373 1480 2746 2960 5492 6865 10984 13730 21968 27460 50801 54920 101602 109840 203204 254005 406408 508010 812816 1016020 2032040 4064080